Code: Select all
.-----------------.------------------.------------------.
| 1256 8 A15 | 26 59 7 | #129 4 3 |
| #126 7 4 | 268 3 689 | 1289 B18 5 |
| A25 3 9 | 248 458 1 | B278 B78 6 |
:------------------+-----------------+------------------:
| 39 69 17 | 36 18 5 | 178 2 4 |
| 15 56 2 | 4678 1478 468 | 3 1568 9 |
| 8 4 1357 | 9 12 236 | 157 1567 17 |
:------------------+-----------------+------------------:
| 7 25 35 | 1 248 2348 | 6 9 28 |
| 4 29 8 | 37 6 29 | 157 1357 17 |
| 39 1 6 | 5 789 289 | 4 37 28 |
'------------------'-----------------'------------------'
This immediately makes available another "relatively" simple ALS reduction:
Code: Select all
.------------------.-------------------.-----------------.
| 1256 8 15 | B26 59 7 | 29 4 3 |
| A26 7 4 | B268 3 #689 | 1289 18 5 |
| A25 3 9 | B248 B458 1 | 278 78 6 |
:------------------+-------------------+-----------------:
| 39 69 17 | 36 18 5 | 178 2 4 |
| 15 56 2 | 4678 1478 468 | 3 1568 9 |
| 8 4 1357 | 9 12 236 | 157 1567 17 |
:------------------+-------------------+-----------------:
| 7 25 35 | 1 248 2348 | 6 9 28 |
| 4 29 8 | 37 6 29 | 157 1357 17 |
| 39 1 6 | 5 789 289 | 4 37 28 |
'------------------'-------------------'-----------------'
All told, Sudocue used 4 ALS reductions, two of them with quite large sets, and an empty rectangle starting from the initial configuration above. This leads me to ask about the order in which Sudocue searches for ALS reductions. Let me say that an algorithm to search for all possible ALS sets which produce eliminations seems quite difficult to me, so in any case I'm impressed with this recently added feature.
Ron Moore